Please show any steps you used to solve the equation!

Solve the equation [tex]sec(theta)=2 \\0\leq theta\ \textless \ 2\pi[/tex]

I'll mark brainliest if correct!

Answers

Answer 1

sec(θ) = 2

By definition of secant,

cos(θ) = 1/2

Solve for θ :

θ = arccos(1/2) + 2nπ   or   θ = -arccos(1/2) + 2nπ

(where n is any integer)

θ = π/3 + 2nπ   or   θ = -π/3 + 2nπ

We get two solutions in the interval 0 ≤ θ < 2π :

θ = π/3   or   θ = 5π/3


Related Questions

Can someone plz help Me?

Answers

Answer:

A and C

Step-by-step explanation:

which inequality is a true statement select each correct answer

Answers

Answer:

A. False

B. True

C. False

D. False

E. True

Hope This Helps!!!

A survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a video game console, and 50 brought neither a microwave nor game console. A survey participant is randomly selected. Let M be the event the participant brought a microwave and let C be the event the participant brought a video game console. Organize these events in a two-way table. What is the probability that the participant did not bring a microwave or did not bring a console, P(MC or CC)?

0.10
0.29
0.39
0.90

Answers

Answer:

0.90

Step-by-step explanation:

I’m doing the unit test

Answer:

0.29

Step-by-step explanation:

The probability that they brought both is .90

The probability of neither is .29, which is what this question is asking

Complete the sentences below based on the graph of the function.

Please help!

Answers

Answer:

20 km20 km/h5 km/h

Step-by-step explanation:

We assume the graph is a plot of Sean's distance from home as he drives to work, works 8 hours, then drives home with a 2-hour stop along the way. It also appears that t is measured in hours after midnight.

The graph shows Sean's distance from home between 9 a.m. and 5 p.m. (t=17) is 20 km. Based on our assumptions, ...

  Sean's workplace is located 20 km from his home.

__

Speed is the change in distance divided by the change in time. Between 8 a.m. and 9 a.m. Sean's position changes by 20 km. His speed is then ...

  (20 km)/(1 h) = 20 km/h

  Sean's speed driving to work was 20 km/h.

__

Between 5 p.m. (t=17) and 7 p.m. (t=19), Sean's position changes from 20 km to 10 km from home. That change took 2 hours, so his speed was ...

  (10 km)/(2 h) = 5 km/h

  Sean's speed between 5 p.m. and 7 p.m. was 5 km/h.

_____

Additional comment

The units of speed (kilometers per hour) tell you it is computed by dividing kilometers by hours. ("Per" in this context means "divided by".)

While the slope of the line on the graph between 5 p.m. and 7 p.m. is negative, the speed is positive. The negative sign means Sean's speed is not away from home, but is toward home. When the direction (toward, away) is included, the result is a vector called "velocity." Speed is just the magnitude of the velocity vector. It ignores direction.

PLEASE HELP I"LL GIVE BRAINLEAST

Rico paid $180 sales tax on his new $2,400 motorcycle. What was the sales tax percentage rate where he bought his motorcycle?

7.0% tax rate

7.5% tax rate

8% tax rate

6.5% tax rate

Answers

Answer:

7.5 % Tax rate

Step-by-step explanation:

I used used the calculator to figure out the rate

$2,400 X 7.5%= 180

7.5 percent tax rate because if you subtract $2,400 -118 you get 7.5

equation of the line that passes through (7,-1) and (-3,-1)

Answers

Answer:

y = - 1

Step-by-step explanation:

Note the y- coordinates of both points are equal, both - 1

This indicates the line is horizontal and parallel to the x- axis with equation

y = c

where c is the value of the y- coordinates the line passes through

The line passes through (7, - 1 ) and (- 3, - 1 ) with y- coordinates - 1 , then

y = - 1 ← equation of line

I'm really bad at mathematics. It would be nice if anyone could help me out :) thanks​

Answers

no thank you IoI, good luck tho <3

Simplify.

(–12x) ÷ (–2)


6x


12x


3x


112x

Answers

hope this helps. leave a comment if you have a question.

Hello there!

Question:-

[tex]( - 12x) ÷ ( - 2)[/tex]

This is an algebraic expression.We need to find the result of it.

Solution:-

[tex]\sf \longmapsto (- 12x) \div ( - 2)[/tex]

This algebraic expression may be rewritten as:-

[tex]\sf \longmapsto \: \dfrac{ - 12x}{2} [/tex]

Cancel the minus (-) sign:-

[tex]\sf \longmapsto \dfrac{ \cancel - 12x}{ \cancel - 2} [/tex]

Then,cancel 12 and 2 by 2, 12 ÷ 2 results 6. (Don't cancel x):-

[tex]\sf \longmapsto \: \dfrac{ \cancel {12}x}{ \cancel{2}} [/tex]

[tex]\sf \longmapsto6x[/tex]

Option A

______________________________________

Henceforth the value of the algebraic expression is:

[tex]\boxed{\boxed{\displaystyle \huge 6x}}[/tex]

Option A is correct!

______________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

13. An amusement park drafting engineer must create a small
Ferris wheel with 12 cabs total, each equally spaced apart to
balance the wheel. How many degrees apart should each cab be?

Answers

Answer:

30 degrees

Step-by-step explanation:

a ferris wheel is a circle

the degree of a circle is 360

360/12=30

30 degrees each

MARKING BRAINLIEST PLEASE HELP

Answers

-15x + 210 = 90 (I got 210 because it’s the distance the line is on now)

So -15x = 90 - 210

-15x = -120
Divide both sides by -15 that equals 8 so the your answer is but if it’s the time before the draining began (I will assume at 0) then the answer would be 3 + 8, it will be 11 hours for it to reach 90

Q). The sum of four consecutive natural numbers is 166. What are the numbers? ​

Answers

Answer:

see that attachment

I hope it's help you

Let the four consecutive natural numbers are X,X+1,X+2,X+3

Their sum = X+X+1+X+2+X+3 = 4X+6

According to the given problem

Their sum = 166

⇛ 4X+6 = 166

⇛4X = 166-6

⇛4X = 160

⇛X = 160/4

∴ X = 40

X+1 = 40+1 = 41

X+2 = 40+2 = 42

X+3 = 40+3 = 43

The four consecutive natural numbers are 40,41,42,43

also read similar questions: The sum of two prime numbers is 85, what is the product of these two prime numbers? A. 85 B. 91 C. 115 D. 166

https://brainly.com/question/779569?referrer

If triangle ABC is congruent to DEF, then what side is congruent to BC?
A. FD

B. EF

C. ED

D. CA

Answers

Answer:

EF

Step-by-step explanation:

BC is the hypotenuse of the left triangle. The corresponding side on the right triangle would be EF.

Answer:

EF

Step-by-step explanation:

The corresponding side to BC is EF.

Look at the bolded letters

ABC DEF

notice the similarities?

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

A Todays soup  will be less tomatoey

Step-by-step explanation:

What is 6 percent of 200 plz show your work

Answers

Answer: 12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

200 * 0.06 = 12

Please help me and If your answer is wrong or not appropreat I will report it

Simplify (-2x^(3)y^(7))^(2)(3x^(2)y^(2))^(5)

Answers

Answer:

972 x^16 y^24

Step-by-step explanation:

Simplify the following:

(-2 x^3 y^7)^2 (3 x^2 y^2)^5

Multiply each exponent in -2 x^3 y^7 by 2:

(-2)^2 x^(2×3) y^(2×7) (3 x^2 y^2)^5

2×7 = 14:

(-2)^2 x^(2×3) y^14 (3 x^2 y^2)^5

2×3 = 6:

(-2)^2 x^6 y^14 (3 x^2 y^2)^5

(-2)^2 = 4:

4 x^6 y^14 (3 x^2 y^2)^5

Multiply each exponent in 3 x^2 y^2 by 5:

4 x^6 y^14×3^5 x^(5×2) y^(5×2)

5×2 = 10:

4×3^5 x^6 y^14 x^(5×2) y^10

5×2 = 10:

4×3^5 x^6 y^14 x^10 y^10

3^5 = 3×3^4 = 3 (3^2)^2:

4×3 (3^2)^2 x^6 y^14 x^10 y^10

3^2 = 9:

4×3×9^2 x^6 y^14 x^10 y^10

9^2 = 81:

4×3×81 x^6 y^14 x^10 y^10

3×81 = 243:

4×243 x^6 y^14 x^10 y^10

4 x^6 y^14×243 x^10 y^10 = 4 x^(6 + 10) y^(14 + 10)×243:

4×243 x^(6 + 10) y^(14 + 10)

14 + 10 = 24:

4×243 x^(6 + 10) y^24

6 + 10 = 16:

4×243 x^16 y^24

4×243 = 972:

Answer: 972 x^16 y^24

Answer:

972x^(16)y^(24)

Step-by-step explanation:

Hope it correct !!

which net represents this rectangular prism?

Answers

Answer:

Top left

Step-by-step explanation:

A triangle has interior measures of 45° and 50°. What is the measure of the third angle?
950
850
90°
50

Answers

Answer:

85 degrees

Step-by-step explanation:

the inside of a triangle is always 180 degrees.

180-45-59=85

helppppppppp[pppppp[pppppppppp

Answers

Answer:A

Step-by-step explanation:i mean that sound logiclity correct

pls help i’ll try to give brainlist

Answers

Answer:

1.In the early 19th century, Napoleon's occupation of Spain led to the outbreak of revolts all across Spanish America. Miguel Hidalgo y Costilla—“the father of Mexican independence”—launched the Mexican rebellion with his “Cry of Dolores,” and his populist army came close to capturing the Mexican capital.

2.May marks two key anniversaries in the conflict between the United States and Mexico that set in motion the Civil War—and led to California, Texas, and eight other states joining the Union.

On May 13, 1846, the United States Congress declared war on Mexico after a request from President James K. Polk. Then, on May 26, 1848, both sides ratified the peace treaty that ended the conflict.

The conflict centered on the independent Republic of Texas, which opted to join the United States after establishing its independence from Mexico a decade earlier.

The new U.S. president, James K. Polk, also wanted Texas as part of the United States, and his predecessor, John Tyler, had a late change of heart and started the admission process before he left office. Polk and others saw the acquisition of Texas, California, Oregon, and other territories as part of the nation’s Manifest Destiny to spread democracy over the continent.

The U.S. also tried to buy Texas and what was called “Mexican California” from Mexico, which was seen as an insult by Mexico, before war broke out.

Mexico considered the annexation of Texas as an act of war. After a series of border skirmishes, President Polk asked Congress for the war declaration because, under Article I, Section 8 of the Constitution, only Congress could declare war.

In the fighting that followed, the mostly-volunteer United States military secured control of Mexico after a series of battles, and the Treaty of Guadalupe Hidalgo was signed on February 2, 1848.

It was the first large-scale success of a United States military force on foreign soil.

Mexico received a little more than $18 million in compensation from the United States as part of the treaty.

The pact set a border between Texas and Mexico and ceded California, Nevada, Utah, New Mexico, most of Arizona and Colorado, and parts of Oklahoma, Kansas, and Wyoming to the United States. Their transfer to the United States’ control also cut the territorial size of Mexico in half.

On the surface, the war’s outcome seemed like a bonanza for the United States. But the acquisition of so much territory with the issue of slavery unresolved lit the fuse that eventually set off the Civil War in 1861. But the underlying issue was how adding new states and territories would alter the balance between free and slave states was critical.

On the battlefield, Robert E. Lee, Ulysses S. Grant, and Stonewall Jackson were among those who served in the war against Mexico who would later gain prominence in the American Civil War.

Write TWO different equations that you could use to solve for x. You don't need to solve.

Answers

Answer:

see explanation

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos52° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{18}{x}[/tex] → (1)

The 3rd angle in the triangle is

180° - (90 + 52)° = 180° - 142° = 38°

Using the sine ratio in the right triangle

sin38° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{18}{x}[/tex] → (2)

1)
Which of the following is not a linear equation in one variable?
(a) 32+5 = 0 (b) 3(x+y) = 0 (c) 3x+5 = 0 (d) 3y+5 = 0

Answers

Answer:

letter c is the answer

Step-by-step explanation:

hope it helps you

Answer:

The answer is Option C.) 3x+5 = 0

Step-by-step explanation:

Option A, can't be the answer. It doesn't show a linear graph. Therefore it's incorrect.

Option B, can't be the answer. It doesn't show a linear graph either. This one is also incorrect.

Option C, on the other hand, is correct because it's not a linear equation.

Option D, can't be the answer. It shows a graph, but with a squiggly line. Therefore, this one is also incorrect.

Hope this helps!

Have a nice day/night/afternoon.

(Can you mark me brainliest?)

- ❤ 7272033Alt ❤

A hiker travels 1.13 kilometers south, then travels 2.25 kilometers east. What’s the hiker’s displacement for the trip?

Answers

Answer:

Total displacement = 2.52 kilometers [south east][tex]a^2 + b^2 = c^2\\1.13^2 + 2.25^2 = c^2\\c^2 = 6.3394\\c = 2.52[/tex]

Step-by-step explanation:

By the Pythagorean Theorem:

The nth term of the sequence 27,37,47

Answers

Answer: The 9th term of the sequence 27,37,47 is 107.

what is 174 divided by 74

Answers

Answer:

2.35

Step-by-step explanation:

Answer:

2.35

Step-by-step explanation:

I hope this helps you!

how many cases does he hear per hour?

Answers

Answer:

13

Step-by-step explanation:

5 x 2 2/3

= 5 x 8/3 = 40/3 =13 1/3

So it's basically 13  1/3, but its 13.

The expression below represents the perimeter of a square in centimeters.

4(6+2.5)
What is the square's perimeter?

Answers

Answer:

34

Step-by-step explanation:

4(8.5) = 34

10. Mrs. Taylor wants to lay new carpet in the entrance and hallway of her home as shown below. The carpet she selected sells for $2.50 a square foot. How much will it cost to lay the carpet in the entrance and hallway?

Answers

Don’t u just multiply $2.50 to 2…

The slope of the line below is - Write a point-slope equation of the line
using the coordinates of the labeled point.
(4,4)
10
A. y+ 4 = (x+4)
O B. y+4= - (x + 4)
O C. y 4 = (x - 4)
OD. y-4 = -(x-4)

Answers

Answer:

D.

Step-by-step explanation:

pint slope form:

(y-y1)=m(x-x1)

do just olug in the point and the slope into the equation

(y-4)= -8/7 (x-4)

a)
3
NIX 01/x
b
b)
=
= 8.5

Answers

Answer:

a = 8.5  

Step-by-step explanation:

I do not know how to answer these questions, can someone explain what I would do to solve them? ​

Answers

Answer:

Step-by-step explanation:

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